$\sin\left(a\right)\cdot\cos\left(a\right)=\frac{1}{\tan\left(a\right)\cdot\cot\left(a\right)}$

$\left(6m\:+\:7n\right)^2$

$\log_x\left(12-32x\right)=2$

$w-15w^2+50$

$\lim_{x\to0}\left(\frac{x^2+10sin\left(x\right)}{x}\right)$

$8x-y+x+8y+x$

$\lim_{x\to\pi}\left(\tan\left(x\right)^{\sin\left(x\right)}\right)$